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Finding the Fourth Proportional to 657,065.25, 906,750.05 and 355,259.25

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Solution

The fourth proportional to 657,065.25, 906,750.05 and 355,259.25 is: 490,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,065.25 : 906,750.05 = 355,259.25 : x
  2. Step 2: Convert to fraction form
    657,065.25/906,750.05 = 355,259.25/x
  3. Step 3: Cross multiply
    657,065.25x = 906,750.05 × 355,259.25
  4. Step 4: Simplify right side
    657,065.25x = 322,131,340,924.17
  5. Step 5: Solve for x
    x = 322,131,340,924.17/657,065.25
  6. Step 6: Final answer
    x = 490,257.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.